Answer:
[tex]4\sqrt{6}[/tex]
Step-by-step explanation:
To find x, we can use the Pythagorean Theorem. As this triangle is made up of 2 right triangles. As the length of both right triangles is 10, the length of one will be 5.
Now that we have 2 sides of the right triangle, we can use the Pythagorean Theorem to solve for x
[tex]11^{2} -5^{2} =x^{2} \\\\121-25=x^2\\\\x=\sqrt{96}[/tex]
Lastly, we can simplify this radical to
[tex]\sqrt{96} \\\\4\sqrt{6}[/tex]
